A136367 Numbers k such that A024529(k+1) is prime.

2, 3, 4, 5, 11, 59, 397, 613, 906, 1560, 2162, 2915, 5211

Offset: 1

Author

Alexander Adamchuk, Dec 27 2007

Keywords

• nonn
• more

Comments

A024529(n+1) = numerator of 1 + Sum_{j=1..n} (-1)^j/prime(j): 1, 5, 19, 163, 1583, 22889, 359083, 7333087, 158961311, 4832970889, 143352404329, ...

Crossrefs

Cf. A024529: numerator of 1 + Sum_{k=1..n-1} (-1)^k/prime(k).

Cf. A024530, A136365, A136366, A136368, A136369, A136370, A136371.

Programs

Mathematica

f=1; Do[ p=Prime[n]; f=f + (-1)^n*1/p; g=Numerator[f] ;If[ PrimeQ[g], Print[ {n, g} ] ], {n, 1, 60} ]

Extensions

a(7)-a(9) from Alexander Adamchuk, Sep 15 2010

a(10) from Vincenzo Librandi, Aug 26 2019

a(11)-a(13) from Robert Price, Aug 29 2019